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Simplifying 7n + 8 + -3n + 4 = 3n + 15 + -7 Reorder the terms: 8 + 4 + 7n + -3n = 3n + 15 + -7 Combine like terms: 8 + 4 = 12 12 + 7n + -3n = 3n + 15 + -7 Combine like terms: 7n + -3n = 4n 12 + 4n = 3n + 15 + -7 Reorder the terms: 12 + 4n = 15 + -7 + 3n Combine like terms: 15 + -7 = 8 12 + 4n = 8 + 3n Solving 12 + 4n = 8 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 12 + 4n + -3n = 8 + 3n + -3n Combine like terms: 4n + -3n = 1n 12 + 1n = 8 + 3n + -3n Combine like terms: 3n + -3n = 0 12 + 1n = 8 + 0 12 + 1n = 8 Add '-12' to each side of the equation. 12 + -12 + 1n = 8 + -12 Combine like terms: 12 + -12 = 0 0 + 1n = 8 + -12 1n = 8 + -12 Combine like terms: 8 + -12 = -4 1n = -4 Divide each side by '1'. n = -4 Simplifying n = -4
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